Algebraic criteria for second-order global consensus in multi-agent networks with intrinsic nonlinear dynamics and directed topologies

Information Sciences

Volumn 259, Issue , 2014, Pages 25-35

  Li, Huaqing ^a   Liao, Xiaofeng ^a   Huang, Tingwen ^b   Wang, Yong ^c   Han, Qi ^d   Dong, Tao ^c  

^a SOUTHWEST UNIVERSITY   (China)

^b TEXAS A AND M UNIVERSITY AT QATAR   (Qatar)

^c CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^d CHONGQING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Algebraic criteria; Directed topology; Multi agent network; Nonlinear dynamics; Second order consensus

Indexed keywords

ALGEBRAIC CRITERIA; DIRECTED TOPOLOGY; MULTIAGENT NETWORKS; SECOND ORDERS; SIMULATION EXAMPLE; THEORETICAL DERIVATIONS; TIME-DELAY COUPLING; UNDERLYING NETWORKS;

DYNAMICS; TIME DELAY; TOPOLOGY;

ALGEBRA;

EID: 84889634137     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.09.039     Document Type: Article

References (55)

1. P. Ballal, F.L. Lewis, Trust-based collaborative control for teams in communication networks, Proceedings of the ASC, Orlando, FL (2008).
2. P.A. Bliman, and F.T. Giancarlo Average consensus problems in networks of agents with delayed communications Automatica 44 8 2008 1985 1995
3. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequality in System and Control Theory 1994 SIAM Philadelphia, PA
4. F. Cucker, and S. Smale Emergent behavior in flocks IEEE Transactions on Automatic Control 52 5 2007 852 862
5. G.R. Chen, and F.L. Lewis Robust consensus of multiple inertial agents with coupling delays and variable topologies International Journal of Robust and Nonlinear Control 21 6 2011 666 685
6. R. Carli, F. Bullo, and S. Zampieri Quantized average consensus via dynamic coding/decoding schemes International Journal of Robust and Nonlinear Control 20 2 2010 156 175
7. R. Carli, A. Chiuso, L. Schenato, S. Zampieri, A PI consensus controller for networked clocks synchronization, in: Proceedings of the IFAC', Seoul, Korea, 2008.
8. D.V. Dimarogonas, and K.J. Kyriakopoulos On the rendezvous problem for multiple nonholonomic agents on the rendezvous problem for multiple nonholonomic agents IEEE Transactions on Automatic Control 52 5 2007 916 922
9. P.K. De, and A. Bhincher Dynamic programming and multi objective linear programming approaches Applied Mathematics & Information Sciences - An International Journal 5 2 2011 253 263
10. T. Dong, X.F. Liao, T.W. Huang, and H.Q. Li Hopf-pitchfork bifurcation in an inertial two-neuron system with time delay Neurocomputing 97 2012 223 232
11. T. Dong, X.F. Liao, and H.Q. Li Stability and hopf bifurcation in a computer virus model with multi-state anti-virus Abstract and Applied Analysis 2012 10.1155/2012/841987
12. L.P. Feng, X.F. Liao, H.Q. Li, and Q. Han Hopf bifurcation analysis of a delayed viral infection model in computer networks Mathematical and Computer Modelling 56 7-8 2012 167 179
13. R.A. Horn, and C.R. Johnson Matrix Analysis 1985 Cambridge Univ. Press Cambridge, UK
14. R.A. Horn, and C.R. Johnson Topics in Matrix Analysis 1991 Cambridge Univ. Press Cambridge, UK
15. Q. Hui, W.M. Haddad, and S.P. Bhat On robust control algorithms for nonlinear network consensus protocols International Journal of Robust and Nonlinear Control 20 3 2010 269 284
16. Q. Han, X.F. Liao, and T.W. Huang Analysis and design of associative memories based on stability of cellular neural networks Neurocomputing 97 11 2012 182 200
17. X. He, C.D. Li, T.W. Huang, and C.J. Li Codimension two bifurcation in a delayed neural network with unidirectional coupling Nonlinear Analysis-Real World Applications 14 2 2013 1191 1202
18. X. He, C.D. Li, and Y.L. Shu Bogdanov-Takens bifurcation in a single inertial neuron model with delay Neurocomputing 89 2012 193 201
19. A. Jadbabaie, J. Lin, and A.S. Morse Coordination of groups of mobile autonomous agents using nearest neighbor rules IEEE Transactions on Automatic Control 48 6 2003 988 1001
20. L.H. Ji, and X.F. Liao Consensus analysis of multi-agent system with multiple time delays Acta Physica Sinica 61 15 2012 150202(1) 150202(8)
21. L.H. Ji, and X.F. Liao Consensus problems of first-order dynamic multi-agent systems with multiple time delays Chinese Physics B 22 4 2013 040203(1) 040203(6)
22. L.H. Ji, X.F. Liao, and Q. Liu Group consensus analysis of multi-agent systems with delays Acta Physica Sinica 61 22 2012 220202(1) 220202(9)
23. D. Lee, and M.W. Spong Stable flocking of multiple inertial agents on balanced graphs IEEE Transactions on Automatic Control 52 8 2007 1469 1475
24. H.Q. Li, X.F. Liao, and G. Chen Finite-time leader-following consensus for second-order multi-agent systems with nonlinear dynamics International Journal of Control, Automation and Systems 11 2 2013 1 5
25. H.Q. Li, X.F. Liao, T. Dong, and L. Xiao Second-order consensus seeking in directed networks of multi-agent dynamical systems via generalized linear local interaction protocols Nonlinear Dynamics 70 3 2012 2213 2226
26. H.Q. Li, X.F. Liao, T.W. Huang, Second-order dynamic consensus of multi-agent systems with arbitrarily fast switching topologies, IEEE Transactions on Systems Man and Cybernetics: Systems, doi: 10.1109/TSMC.2013. 2242466.
27. H.Q. Li, X.F. Liao, X.Y. Lei, T.W. Huang, and W. Zhu Second-order consensus seeking in multi-agent systems with nonlinear dynamics over random switching directed networks IEEE Transactions on Circuits and Systems - I: Regular Papers 60 6 2013 1595 1607
28. H. Minc Nonnegative Matrices 1988 Wiley New York
29. K.L. Moore, and D. Lucarelli Decentralized adaptive scheduling using consensus variables International Journal of Robust and Nonlinear Control 17 10 2007 921 940
30. L. Moreau Stability of multiagent systems with time-dependent communication links Transactions on Automatic Control 50 2 2005 169 182
31. R. Olfati-Saber, E. Franco, E. Frazzoli, and J.S. Shamma Belief consensus and distributed hypothesis testing in sensor networks P.J. Antsaklis, P. Tabuada, Network Embedded Sensing and Control 2006 Springer New York 169 182
32. R. Olfati-Saber, J.A. Fax, and R.M. Murray Consensus and cooperation in networked multi-agent systems Proceedings of the IEEE 95 1 2007 215 233
33. R. Olfati-Saber, and R.M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Transactions on Automatic Control 49 9 2004 1520 1533
34. R. Parreiras, P. Ekel, and F. Bernardes Jr. A dynamic consensus scheme based on a nonreciprocal fuzzy preference relation modeling Information Sciences 211 30 2012 1 17
35. Z. Qu Cooperative Control of Dynamical Systems 2009 Spring London
36. W. Ren, and E. Atkins Distributed multi-vehicle coordinated control via local information exchange International Journal of Robust and Nonlinear Control 17 10-11 2007 1002 1033
37. W. Ren, and R.W. Beard Consensus seeking in multiagent systems under dynamically changing interaction topologies IEEE Transaction on Automatic Control 5 5 2005 655 661
38. W. Ren, and R.W. Beard Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications 2008 Spring London
39. F. Shi, and J. Xu Emotional cellular-based multi-class fuzzy support vector machines on product's KANSEI extraction Applied Mathematics & Information Sciences - An International Journal 6 1 2012 41 49
40. Q. Song, J.D. Cao, and W.W. Yu Second-order leader-following consensus of nonlinear multi-agent systems via pinning control System Control Letters 59 9 2010 553 562
41. Q. Song, F. Liu, J.D. Cao, and W.W. Yu Pinning-controllability analysis of complex networks: an m-matrix approach IEEE Transactions on Circuits and Systems-I Regular Papers 59 11 2012 2692 2701
42. H.S. Su, X.F. Wang, and Z. Lin Synchronization of coupled harmonic oscillators in a dynamic proximity network Automatica 45 10 2009 2286 2291
43. W.T. Sung, and M.H. Tsai Multi-sensor wireless signal aggregation for environmental: monitoring system via multi-bit data fusion Sung Applied Mathematics & Information Sciences - An International Journal 5 3 2011 589 603
44. R. Tron, R. Vidal, A. Terzis, Distributed pose averaging in camera sensor networks via consensus on SE(3), in: Proceedings of the ICDSC' 08, Stanford, CA, 2008.
45. C.W. Wu Synchronization in networks of nonlinear dynamical system coupled via directed graph Nonlinearity 18 3 2005 1057 1064
46. C.W. Wu Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling IEEE Transactions on Circuits and Systems II-Express Brief 52 5 2005 282 286
47. H.W. Wang, X.F. Liao, and T.W. Huang Average consensus in sensor networks via broadcast multi-gossip algorithms Neurocomputing 2013 10.1016/j.neucom. 2013.01.013
48. H.W. Wang, X.F. Liao, and T.W. Huang Accelerated consensus to accurate average in multi-agent networks via state prediction Nonlinear Dynamics 2013 10.1007/s11071-013-0808-9
49. S.P. Wen, Z.G. Zeng, and T.W. Huang HO filtering for neutral systems with mixed delays and multiplicative noises IEEE Transactions Circuits and Systems - Part II Express Brief 59 11 2012 820 824
50. S.P. Wen, Z.G. Zeng, and T.W. Huang Adaptive synchronization of memristor-based Chua's circuits Physics Letters A 376 10 2012 2775 2780
51. S.P. Wen, Z.G. Zeng, and T.W. Huang Robust HO output tracking control for fuzzy networked systems with stochastic sampling and multiplicative noises Nonlinear Dynamics 70 2 2012 1061 1077
52. S.P. Wen, Z.G. Zeng, and T.W. Huang Exponential stability analysis of memristor-based recurrent neural networks with time-varying delays Neurocomputing 97 15 2012 233 240
53. W.W. Yu, G.R. Chen, M. Cao, and J. Kurths Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics IEEE Transactions on Systems, Man and Cybernetics: Part B, Cybernetics 40 3 2010 881 891
54. H.Y. Yu, Y. Zhuang, and W. Wang Distributed H/Infinite filtering in sensor networks with randomly occurred missing measurements and communication link failures Information Sciences 222 2013 424 438
55. X. Zhao, A. He, J. Wu, G. Yang, Y. Yang, N. Zhou, S. Yang, and L. Li A mathematical characterization of system design and modeling Applied Mathematics & Information Sciences - An International Journal 6 2 2012 345 356